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ps5 - MIT OpenCourseWare http/ocw.mit.edu 2.161 Signal...

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MIT OpenCourseWare http://ocw.mit.edu 2.161 Signal Processing: Continuous and Discrete Fall 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF MECHANICAL ENGINEERING 2.161 Signal Processing - Continuous and Discrete Fall Term 2008 Problem Set 5: The Discrete Fourier Transform Assigned: October 16, 2008 Due: October 23, 2008 Problem 1: A 128 millisecond portion of an analog signal is sampled at a rate of 8 kHz and the resulting L samples are saved for further processing. What is L ? The 256 point DFT of these samples is computed. What is the frequency spacing in Hz of the computed DFT values? What is the total number of required multiplications (a) if the computations are done using the DFT directly, and (b) if the computations are done using a FFT? What is the scale factor relating frequency domain samples F m in the FFT to the value of the Fourier transform F ( ) at the same frequency?
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ps5 - MIT OpenCourseWare http/ocw.mit.edu 2.161 Signal...

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